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Finding the Fourth Proportional to 16,618.32, 24,927.48 and 13,158

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Solution

The fourth proportional to 16,618.32, 24,927.48 and 13,158 is: 19,737

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,618.32 : 24,927.48 = 13,158 : x
  2. Step 2: Convert to fraction form
    16,618.32/24,927.48 = 13,158/x
  3. Step 3: Cross multiply
    16,618.32x = 24,927.48 × 13,158
  4. Step 4: Simplify right side
    16,618.32x = 327,995,781.84
  5. Step 5: Solve for x
    x = 327,995,781.84/16,618.32
  6. Step 6: Final answer
    x = 19,737

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.